Climb the Kobe Port Tower. Not literally, but take the elevator to the observation tower for a great view!

Check out the Ikuta Shrine, oddly located near the bustling parts of Kobe, by the Sannomiya shopping center of the modern city.

Jewish Info: There is a very nice synagogue in Kobe, run by an American Rabbi Yerachmiel Strausberg with his French wife Tova and their 5 kids. They are delightful, and have been there since 2006.

They get a nice crowd for Shabbat. Many people come in from Osaka for Shabbat. There are a lot of hotels near the shul, which is located in a great part of town. Shabbat walks are a pleasure here. http://www.jcckobe.org